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Finding the Third Proportional to 1,312,102,416 and 2,891,653,080

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Solution

The third proportional to 1,312,102,416 and 2,891,653,080 is: 6,372,717,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,102,416 : 2,891,653,080 = 2,891,653,080 : x
  2. Step 2: Convert to fraction form
    1,312,102,416/2,891,653,080 = 2,891,653,080/x
  3. Step 3: Cross multiply
    1,312,102,416x = 2,891,653,080 × 2,891,653,080
  4. Step 4: Simplify right side
    1,312,102,416x = 8,361,657,535,073,486,848
  5. Step 5: Solve for x
    x = 8,361,657,535,073,486,848/1,312,102,416
  6. Step 6: Final answer
    x = 6,372,717,124.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.